| Label |
RSZB label |
RZB label |
CP label |
SZ label |
S label |
Name |
Level |
Index |
Genus |
Rank |
$\Q$-gonality |
Cusps |
$\Q$-cusps |
CM points |
Conductor |
Simple |
Squarefree |
Contains -1 |
Decomposition |
Models |
$j$-points |
Local obstruction |
$\operatorname{GL}_2(\mathbb{Z}/N\mathbb{Z})$-generators |
| 30.72.0-6.a.1.1 |
30.72.0.1 |
|
6K0 |
|
|
|
$30$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$47$ |
|
$\begin{bmatrix}13&14\\18&11\end{bmatrix}$, $\begin{bmatrix}14&9\\9&2\end{bmatrix}$, $\begin{bmatrix}29&18\\6&5\end{bmatrix}$ |
| 30.72.0-6.a.1.2 |
30.72.0.2 |
|
6K0 |
|
|
|
$30$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$47$ |
|
$\begin{bmatrix}1&2\\12&11\end{bmatrix}$, $\begin{bmatrix}14&15\\9&14\end{bmatrix}$, $\begin{bmatrix}17&16\\6&1\end{bmatrix}$ |
| 30.72.0-10.a.1.1 |
30.72.0.10 |
|
10F0 |
|
|
|
$30$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}19&0\\22&11\end{bmatrix}$, $\begin{bmatrix}19&5\\20&17\end{bmatrix}$, $\begin{bmatrix}21&25\\28&29\end{bmatrix}$ |
| 30.72.0-10.a.1.2 |
30.72.0.7 |
|
10F0 |
|
|
|
$30$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}9&25\\10&19\end{bmatrix}$, $\begin{bmatrix}11&0\\8&7\end{bmatrix}$, $\begin{bmatrix}11&15\\0&7\end{bmatrix}$ |
| 30.72.0-10.a.1.3 |
30.72.0.9 |
|
10F0 |
|
|
|
$30$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}11&25\\28&9\end{bmatrix}$, $\begin{bmatrix}19&10\\26&27\end{bmatrix}$, $\begin{bmatrix}19&15\\22&1\end{bmatrix}$ |
| 30.72.0-10.a.1.4 |
30.72.0.8 |
|
10F0 |
|
|
|
$30$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}1&5\\16&27\end{bmatrix}$, $\begin{bmatrix}11&20\\2&13\end{bmatrix}$, $\begin{bmatrix}29&25\\16&27\end{bmatrix}$ |
| 30.72.0-10.a.2.1 |
30.72.0.6 |
|
10F0 |
|
|
|
$30$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}7&20\\0&1\end{bmatrix}$, $\begin{bmatrix}23&15\\6&1\end{bmatrix}$, $\begin{bmatrix}27&10\\10&9\end{bmatrix}$ |
| 30.72.0-10.a.2.2 |
30.72.0.5 |
|
10F0 |
|
|
|
$30$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}3&5\\20&29\end{bmatrix}$, $\begin{bmatrix}7&0\\14&11\end{bmatrix}$, $\begin{bmatrix}7&20\\26&29\end{bmatrix}$ |
| 30.72.0-10.a.2.3 |
30.72.0.3 |
|
10F0 |
|
|
|
$30$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}7&15\\8&11\end{bmatrix}$, $\begin{bmatrix}7&25\\8&9\end{bmatrix}$, $\begin{bmatrix}19&15\\20&1\end{bmatrix}$ |
| 30.72.0-10.a.2.4 |
30.72.0.4 |
|
10F0 |
|
|
|
$30$ |
$72$ |
$0$ |
$0$ |
$1$ |
$8$ |
$4$ |
|
$?$ |
? |
? |
|
not computed |
|
$43$ |
|
$\begin{bmatrix}7&25\\12&29\end{bmatrix}$, $\begin{bmatrix}21&5\\28&11\end{bmatrix}$, $\begin{bmatrix}23&10\\20&21\end{bmatrix}$ |
| 30.72.1.a.1 |
30.72.1.5 |
|
6F1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$12$ |
$0$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}1&12\\0&11\end{bmatrix}$, $\begin{bmatrix}21&10\\2&3\end{bmatrix}$ |
| 30.72.1.b.1 |
30.72.1.16 |
|
10K1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$12$ |
$0$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}17&10\\18&13\end{bmatrix}$, $\begin{bmatrix}21&10\\4&13\end{bmatrix}$ |
| 30.72.1.b.2 |
30.72.1.15 |
|
10K1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$12$ |
$0$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}23&0\\8&7\end{bmatrix}$, $\begin{bmatrix}29&20\\4&27\end{bmatrix}$ |
| 30.72.1.c.1 |
30.72.1.1 |
|
6F1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$12$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
|
$0$ |
|
$\begin{bmatrix}8&15\\9&14\end{bmatrix}$, $\begin{bmatrix}22&9\\9&22\end{bmatrix}$, $\begin{bmatrix}25&2\\12&11\end{bmatrix}$ |
| 30.72.1.d.1 |
30.72.1.8 |
|
10K1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$12$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}13&5\\14&9\end{bmatrix}$, $\begin{bmatrix}17&5\\0&1\end{bmatrix}$, $\begin{bmatrix}19&25\\4&21\end{bmatrix}$ |
| 30.72.1.d.2 |
30.72.1.9 |
|
10K1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$12$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}1&25\\16&9\end{bmatrix}$, $\begin{bmatrix}19&25\\4&21\end{bmatrix}$, $\begin{bmatrix}29&20\\12&23\end{bmatrix}$ |
| 30.72.1.e.1 |
30.72.1.2 |
|
6F1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$12$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}20&21\\27&2\end{bmatrix}$, $\begin{bmatrix}22&15\\15&4\end{bmatrix}$, $\begin{bmatrix}29&22\\12&19\end{bmatrix}$ |
| 30.72.1.f.1 |
30.72.1.6 |
|
6F1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$12$ |
$0$ |
|
$2^{2}\cdot3^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}12&5\\29&18\end{bmatrix}$, $\begin{bmatrix}15&16\\8&9\end{bmatrix}$ |
| 30.72.1.g.1 |
30.72.1.14 |
|
10K1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$12$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}13&15\\6&23\end{bmatrix}$, $\begin{bmatrix}27&20\\28&29\end{bmatrix}$ |
| 30.72.1.g.2 |
30.72.1.11 |
|
10K1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$12$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&25\\22&1\end{bmatrix}$, $\begin{bmatrix}9&20\\16&7\end{bmatrix}$ |
| 30.72.1.h.1 |
30.72.1.18 |
|
10K1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$12$ |
$0$ |
|
$2^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}9&5\\20&23\end{bmatrix}$, $\begin{bmatrix}27&5\\16&29\end{bmatrix}$ |
| 30.72.1.h.2 |
30.72.1.17 |
|
10K1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$12$ |
$0$ |
|
$2^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}17&10\\22&3\end{bmatrix}$, $\begin{bmatrix}29&5\\4&27\end{bmatrix}$ |
| 30.72.1.i.1 |
30.72.1.7 |
|
10K1 |
|
|
|
$30$ |
$72$ |
$1$ |
$1$ |
$2$ |
$12$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$3$ |
|
$\begin{bmatrix}1&0\\8&19\end{bmatrix}$, $\begin{bmatrix}17&15\\0&29\end{bmatrix}$, $\begin{bmatrix}19&5\\10&19\end{bmatrix}$ |
| 30.72.1.i.2 |
30.72.1.10 |
|
10K1 |
|
|
|
$30$ |
$72$ |
$1$ |
$1$ |
$2$ |
$12$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$3$ |
|
$\begin{bmatrix}9&20\\8&27\end{bmatrix}$, $\begin{bmatrix}9&25\\4&11\end{bmatrix}$, $\begin{bmatrix}19&15\\18&7\end{bmatrix}$ |
| 30.72.1.j.1 |
30.72.1.12 |
|
10K1 |
|
|
|
$30$ |
$72$ |
$1$ |
$1$ |
$2$ |
$12$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}9&20\\2&27\end{bmatrix}$, $\begin{bmatrix}17&25\\16&3\end{bmatrix}$ |
| 30.72.1.j.2 |
30.72.1.13 |
|
10K1 |
|
|
|
$30$ |
$72$ |
$1$ |
$1$ |
$2$ |
$12$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}3&20\\2&11\end{bmatrix}$, $\begin{bmatrix}19&5\\4&27\end{bmatrix}$ |
| 30.72.1.k.1 |
30.72.1.3 |
|
6F1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$12$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}17&0\\24&13\end{bmatrix}$, $\begin{bmatrix}27&13\\10&9\end{bmatrix}$ |
| 30.72.1.l.1 |
30.72.1.4 |
|
6F1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$12$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
? |
$\begin{bmatrix}6&5\\11&6\end{bmatrix}$, $\begin{bmatrix}19&24\\18&5\end{bmatrix}$ |
| 30.72.1.m.1 |
30.72.1.30 |
|
30D1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}19&4\\20&7\end{bmatrix}$, $\begin{bmatrix}23&13\\8&5\end{bmatrix}$, $\begin{bmatrix}27&5\\5&12\end{bmatrix}$ |
| 30.72.1.m.2 |
30.72.1.33 |
|
30D1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}2&25\\29&11\end{bmatrix}$, $\begin{bmatrix}21&25\\28&27\end{bmatrix}$, $\begin{bmatrix}22&15\\9&17\end{bmatrix}$ |
| 30.72.1.n.1 |
30.72.1.19 |
|
30D1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}11&5\\7&8\end{bmatrix}$, $\begin{bmatrix}19&15\\21&26\end{bmatrix}$, $\begin{bmatrix}23&25\\22&7\end{bmatrix}$ |
| 30.72.1.n.2 |
30.72.1.24 |
|
30D1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}8&25\\1&19\end{bmatrix}$, $\begin{bmatrix}8&25\\17&8\end{bmatrix}$, $\begin{bmatrix}13&25\\16&23\end{bmatrix}$ |
| 30.72.1.o.1 |
30.72.1.26 |
|
30D1 |
|
|
|
$30$ |
$72$ |
$1$ |
$1$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}13&29\\22&25\end{bmatrix}$, $\begin{bmatrix}22&25\\25&2\end{bmatrix}$, $\begin{bmatrix}27&10\\17&21\end{bmatrix}$ |
| 30.72.1.o.2 |
30.72.1.21 |
|
30D1 |
|
|
|
$30$ |
$72$ |
$1$ |
$1$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}3&10\\5&9\end{bmatrix}$, $\begin{bmatrix}11&5\\11&22\end{bmatrix}$, $\begin{bmatrix}23&0\\24&1\end{bmatrix}$ |
| 30.72.1.p.1 |
30.72.1.31 |
|
30D1 |
|
|
|
$30$ |
$72$ |
$1$ |
$1$ |
$2$ |
$4$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}1&5\\5&2\end{bmatrix}$, $\begin{bmatrix}9&5\\11&12\end{bmatrix}$, $\begin{bmatrix}17&25\\26&11\end{bmatrix}$ |
| 30.72.1.p.2 |
30.72.1.28 |
|
30D1 |
|
|
|
$30$ |
$72$ |
$1$ |
$1$ |
$2$ |
$4$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5^{2}$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}2&5\\11&1\end{bmatrix}$, $\begin{bmatrix}19&10\\26&1\end{bmatrix}$, $\begin{bmatrix}21&5\\22&27\end{bmatrix}$ |
| 30.72.1.q.1 |
30.72.1.34 |
|
30D1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}8&5\\19&14\end{bmatrix}$, $\begin{bmatrix}28&5\\29&2\end{bmatrix}$, $\begin{bmatrix}29&10\\1&7\end{bmatrix}$ |
| 30.72.1.q.2 |
30.72.1.29 |
|
30D1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}8&25\\25&4\end{bmatrix}$, $\begin{bmatrix}19&5\\10&13\end{bmatrix}$, $\begin{bmatrix}24&5\\1&3\end{bmatrix}$ |
| 30.72.1.r.1 |
30.72.1.23 |
|
30D1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}5&12\\18&25\end{bmatrix}$, $\begin{bmatrix}7&2\\5&23\end{bmatrix}$, $\begin{bmatrix}25&21\\27&4\end{bmatrix}$ |
| 30.72.1.r.2 |
30.72.1.20 |
|
30D1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$2$ |
|
$\begin{bmatrix}4&5\\17&2\end{bmatrix}$, $\begin{bmatrix}18&25\\29&21\end{bmatrix}$, $\begin{bmatrix}29&20\\7&17\end{bmatrix}$ |
| 30.72.1.s.1 |
30.72.1.22 |
|
30D1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}13&5\\1&28\end{bmatrix}$, $\begin{bmatrix}19&25\\17&28\end{bmatrix}$, $\begin{bmatrix}21&25\\4&21\end{bmatrix}$ |
| 30.72.1.s.2 |
30.72.1.25 |
|
30D1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$1$ |
$1$ |
|
$\begin{bmatrix}9&20\\10&27\end{bmatrix}$, $\begin{bmatrix}13&25\\4&29\end{bmatrix}$, $\begin{bmatrix}19&0\\3&11\end{bmatrix}$ |
| 30.72.1.t.1 |
30.72.1.27 |
|
30D1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}17&15\\12&1\end{bmatrix}$, $\begin{bmatrix}19&5\\19&22\end{bmatrix}$, $\begin{bmatrix}29&15\\27&2\end{bmatrix}$ |
| 30.72.1.t.2 |
30.72.1.32 |
|
30D1 |
|
|
|
$30$ |
$72$ |
$1$ |
$0$ |
$2$ |
$4$ |
$0$ |
|
$2^{2}\cdot3^{2}\cdot5$ |
✓ |
✓ |
✓ |
$1$ |
$2$ |
$0$ |
✓ |
$\begin{bmatrix}4&25\\7&8\end{bmatrix}$, $\begin{bmatrix}17&0\\18&29\end{bmatrix}$, $\begin{bmatrix}27&5\\20&27\end{bmatrix}$ |
| 30.72.2-15.a.1.1 |
30.72.2.6 |
|
15B2 |
|
|
|
$30$ |
$72$ |
$2$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$3^{4}\cdot5^{2}$ |
✓ |
✓ |
|
$2$ |
|
$1$ |
|
$\begin{bmatrix}7&0\\18&1\end{bmatrix}$, $\begin{bmatrix}7&10\\23&1\end{bmatrix}$, $\begin{bmatrix}7&15\\15&26\end{bmatrix}$, $\begin{bmatrix}26&15\\3&4\end{bmatrix}$ |
| 30.72.2-15.a.1.2 |
30.72.2.5 |
|
15B2 |
|
|
|
$30$ |
$72$ |
$2$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$3^{4}\cdot5^{2}$ |
✓ |
✓ |
|
$2$ |
|
$1$ |
|
$\begin{bmatrix}8&5\\7&14\end{bmatrix}$, $\begin{bmatrix}9&10\\22&21\end{bmatrix}$, $\begin{bmatrix}11&25\\4&1\end{bmatrix}$, $\begin{bmatrix}16&15\\21&4\end{bmatrix}$ |
| 30.72.2-15.a.1.3 |
30.72.2.7 |
|
15B2 |
|
|
|
$30$ |
$72$ |
$2$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$3^{4}\cdot5^{2}$ |
✓ |
✓ |
|
$2$ |
|
$1$ |
|
$\begin{bmatrix}1&15\\9&14\end{bmatrix}$, $\begin{bmatrix}2&25\\17&29\end{bmatrix}$, $\begin{bmatrix}29&15\\6&1\end{bmatrix}$, $\begin{bmatrix}29&20\\29&1\end{bmatrix}$ |
| 30.72.2-15.a.1.4 |
30.72.2.8 |
|
15B2 |
|
|
|
$30$ |
$72$ |
$2$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$3^{4}\cdot5^{2}$ |
✓ |
✓ |
|
$2$ |
|
$1$ |
|
$\begin{bmatrix}1&10\\19&11\end{bmatrix}$, $\begin{bmatrix}8&15\\27&16\end{bmatrix}$, $\begin{bmatrix}17&5\\17&4\end{bmatrix}$, $\begin{bmatrix}22&5\\5&26\end{bmatrix}$ |
| 30.72.2-15.a.1.5 |
30.72.2.10 |
|
15B2 |
|
|
|
$30$ |
$72$ |
$2$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$3^{4}\cdot5^{2}$ |
✓ |
✓ |
|
$2$ |
|
$1$ |
|
$\begin{bmatrix}12&25\\1&9\end{bmatrix}$, $\begin{bmatrix}12&25\\13&6\end{bmatrix}$, $\begin{bmatrix}13&5\\10&1\end{bmatrix}$, $\begin{bmatrix}26&15\\27&16\end{bmatrix}$ |
| 30.72.2-15.a.1.6 |
30.72.2.9 |
|
15B2 |
|
|
|
$30$ |
$72$ |
$2$ |
$0$ |
$2$ |
$4$ |
$2$ |
|
$3^{4}\cdot5^{2}$ |
✓ |
✓ |
|
$2$ |
|
$1$ |
|
$\begin{bmatrix}1&5\\25&4\end{bmatrix}$, $\begin{bmatrix}13&0\\15&29\end{bmatrix}$, $\begin{bmatrix}21&10\\28&9\end{bmatrix}$, $\begin{bmatrix}22&15\\9&19\end{bmatrix}$ |
